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2449190034 = 23417252313
BaseRepresentation
bin1001000111111011…
…1010110010010010
320022200120202010000
42101332322302102
520003443040114
61043010350430
7114456525504
oct22176726222
96280522100
102449190034
11104755a7a5
1258428b416
1330054c495
141933c5d74
15e5040e09
hex91fbac92

2449190034 has 60 divisors (see below), whose sum is σ = 5829924474. Its totient is φ = 768358656.

The previous prime is 2449190027. The next prime is 2449190053. The reversal of 2449190034 is 4300919442.

It can be written as a sum of positive squares in 3 ways, for example, as 2376855009 + 72335025 = 48753^2 + 8505^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20662 + ... + 72974.

Almost surely, 22449190034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2449190034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914962237).

2449190034 is an abundant number, since it is smaller than the sum of its proper divisors (3380734440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2449190034 is a wasteful number, since it uses less digits than its factorization.

2449190034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52361 (or 52335 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2449190034 is about 49489.2921145575. The cubic root of 2449190034 is about 1347.9511736549.

The spelling of 2449190034 in words is "two billion, four hundred forty-nine million, one hundred ninety thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 867 918 1377 1734 2601 2754 5202 7803 15606 23409 46818 52313 104626 156939 313878 470817 889321 941634 1412451 1778642 2667963 2824902 4237353 5335926 8003889 8474706 15118457 16007778 24011667 30236914 45355371 48023334 72035001 90710742 136066113 144070002 272132226 408198339 816396678 1224595017 2449190034